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Energy is always "lost" in transition. Depending on the substances of the warm object and the cool object, the energy lost will vary, but the energy lost will not be noticeable in any way, unless one has a very accurate thermometer, at least to the thousandths place.

EDIT :: This is assuming a vacuum. In an atmosphere, depending on the temperature of the atmosphere, energy will escape. However, if one measured all of the energy in the entire universe before and after the temperature change, the total energy would be the same, but the energy in the two objects would be different. For instance, if one of the two objects was an ice cube, in the Arctic the results would be much different than what the results would be in Hawaii.

add. But of course the two objects should have the same thermal mass for the equality to prevail. Consider for example heat flowing from Copper into Glass.

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14y ago

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